9966768585480 has 512 divisors, whose sum is σ = 38785789440000. Its totient is φ = 2275632817920.

The previous prime is 9966768585421. The next prime is 9966768585481. The reversal of 9966768585480 is 845858676699.

9966768585480 is a `hidden beast` number, since 9 + 9 + 6 + 6 + 7 + 68 + 5 + 8 + 548 + 0 = 666.

It is a super-2 number, since 2×9966768585480² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9966768585480.

It is not an unprimeable number, because it can be changed into a prime (9966768585481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 350792475 + ... + 350820885.

It is an arithmetic number, because the mean of its divisors is an integer number (75753495000).

Almost surely, 2^{9966768585480} is an apocalyptic number.

9966768585480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9966768585480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19392894720000).

9966768585480 is an abundant number, since it is smaller than the sum of its proper divisors (28819020854520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9966768585480 is a wasteful number, since it uses less digits than its factorization.

9966768585480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29399 (or 29375 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 9966768585480 in words is "nine trillion, nine hundred sixty-six billion, seven hundred sixty-eight million, five hundred eighty-five thousand, four hundred eighty".